Question

What is the correctness of the equation wavelength=h/mv

Answer 1

Answer:

λ = h/mv [de-Broglie wavelength]

From E = hv [Plank's equation]

h = E/v

Write the dimension of each quantity in the above relation

λ = wavelength = [L] ,

h = Energy / frequency = Energy x time = [ML2 T-2 ][T] = [ML2 T-1 ]

mv = mass x velocity = momentum = [MLT-1]

--

LHS = [L]

RHS = [ML2 T-1 ] / [MLT-1 ] = [L]

We see that dimensions of both sides are equal to [L]

The given relation is correct.

Explanation:

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